Abstract. A mixture of two types of super-paramagnetic colloidal particles with long range dipolar interaction is confined by gravity to the flat interface of a hanging water droplet. The particles are observed by video microscopy and the dipolar interaction strength is controlled via an external magnetic field. The system is a model system to study the glass transition in 2D, and it exhibits partial clustering of the small particles [1]. This clustering is strongly dependent on the relative concentration ξ of big and small particles. However, changing the interaction strength Γ reveals that the clustering does not depend on the interaction strength. The partial clustering scenario is quantified using Minkowski functionals and partial structure factors. Evidence that partial clustering prevents global crystallization is discussed.PACS. 82.70.Dd Colloids -64.70.P Glas transition of specific systems
Influence of dimensionality on frustrationIt is well known that the macroscopic behavior of crystalizing systems sensitively depends on dimensionality, as demonstrated by two examples: In 2D an intermediate phase exists between fluid and crystal, the hexatic phase, where the system has no translational order while the orientational correlation is still long-range [2,3,4]. Such a two step melting scenario is not known in 3D. The Ising model for ferromagnetics shows a phase transition for 2D and 3D but not for 1D [5]. For amorphous systems, however, it was found in experiments [6], simulations [7], and theory [8] that the glass transition phenomenology is very similar in 2D and 3D systems, both in dynamics and structure [6,9]. A subtle difference, the local density optimization in 2D and 3D, is the following: in 3D the local density optimized structure of four spheres is obviously a tetrahedron. However, it is not possible to completely cover space in 3D with tetrahedra, because the angle between two planes of a tetrahedron is not a submultiple of 360• [10]. The density optimized state with long-range order is realized by the hexagonal closed packed structure or other variants of the fcc stacking with packing fraction φ = π/ √ 18 ≈ 74%. The dynamical arrest in 3D is expected to be enhanced by this geometrical frustration, because the system has to rearrange its local density optimized structure to reach longrange order 1 . The local geometrical frustration scenario is 1 It is found in 3D hard sphere systems that this geometrical frustration alone is not sufficient to reach a glassy state as it cannot sufficiently suppress crystallization [11,12,13], and additionally polydispersity is needed [14]. different in 2D. There, the local density optimized structure and densest long-range ordered structure are identical, namely hexagonal. For the glass transition in 2D it is therefore expected that an increase of complexity is necessary to reach dynamical arrest without crystallization: in simulations an isotropic one-component 2D system has been observed undergoing dynamical arrest for an inter-particle potential that exhibits t...